For a finite group G, let s(G) be least cardinality of a collection of proper subgroups whose set-theoretical union is all of G. We study the structure of groups G containing no normal non-trivial subgroup N such that s(G/N) = s(G).
On the structure of primitive n-sum groups
DETOMI, ELOISA MICHELA;LUCCHINI, ANDREA
2008
Abstract
For a finite group G, let s(G) be least cardinality of a collection of proper subgroups whose set-theoretical union is all of G. We study the structure of groups G containing no normal non-trivial subgroup N such that s(G/N) = s(G).
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